приношу извинения что морочил голову
Context: made a booking but plans were cancelled.
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1) There should definitely be a comma behind "что" that you missed, such as "Извините, что побеспокоил", to mark another part of the sentence. 2) The list of possible synonims is very long, too long to be fully listed in here. However, here are some examples (partially already noted by V.V.):
...and many more! Good luck learning that complex language!